{"as_of":"2026-08-15T15:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:067ba209a62951eb2d438d105cf0b0160a06f52b61821ab87003db2002c690f9","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-12T06:45:39.915814Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.02831/citation-record","integrity":"/paper/2607.02831/integrity","json":"/paper/2607.02831/citation-record.json","paper":"/paper/2607.02831"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:c63d7d7b1cac4e2f0711c906e9847b4e8811ccff96f7c85a5e10712e50f8bf20","observation_id":"b629fd78-1d52-4398-b108-39daa25e44d2","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:7a0015f1a8470f4b0f6ef7cc7ca4aa16bb975f2e55257c77bb8475077c7f7484","observation_id":"0b3feafc-e9a3-465c-a65b-694c5e7a4406","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bal and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:8ae926f70e7240f54b80e6cae14773236dde2559bff5086dd2838447ef84227f","observation_id":"04ccc8c4-b51a-4ec6-91e0-b0d6f0f78b6f","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bal and A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:aaa8812e28fc05ea7745ca609e9495f1b89466acf02048b592c5b774c0387475","observation_id":"4d9a940f-8c2d-485e-85e4-6ffa85f89760","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bal and A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:9f7c344e67d28b4497c1749b7e355839ae5864f461a8ff19340ec21bd18df28d","observation_id":"1076270e-fe8e-4a53-aec9-9e454086c4c6","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Balehowsky, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:0072bc868d995dc384f8da52f57aee5b3e91054d1a3eaba144dbf31fa677d2c3","observation_id":"297f7945-5cd7-424b-833b-79abf5c3bff8","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bellassoued and Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:e2952aabf8ebae21d63b6a44c82dc1aa3abe47ef4eb1075c7a54ab27be18edf5","observation_id":"84d07c2b-c129-4759-96f2-062cf141dbd2","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bellassoued and Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:74875600c62cbba3a1bf24f7a392809c1587a0c80901167d754aec843feff2a9","observation_id":"3dc85fd1-f2a4-4a75-8c0b-c38f24456082","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bellouquid","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:35c5934fd5bdd2c2e2b0109f7083151e1cb4a24e35be91bb066f7d3d90e79f6e","observation_id":"4279ef7f-7c9a-401f-88f6-44664e6f62ca","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Bhatnagar, E","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:6e79543a0fb729460aac79b1522649851a3431e7c4f86f12e6e4717373582591","observation_id":"747b8eb7-5127-4072-89de-978d439c7051","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Cercignani, R","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:70c746dab03ba0fdd4bec85ec01a5587f6a43c4d91f6629601086520d72fadc5","observation_id":"d5d75f55-7e97-4dac-b778-7163f62bd019","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:1c7143b7a4df0476d537b5f605ef50b503551136fdd318aa63c03eefba4d890a","observation_id":"f2e719f9-df21-4ed3-9a1c-1c370b9f7ab4","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Choulli and P","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:181ce38d7cb4a35981eea413f03451375360714117df70b2f1da83afa6bcfbba","observation_id":"aedc4629-d049-4d33-b6c2-bc4c9314fef5","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Choulli and P","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:8844349a89632db8ebfb6b6a7ee5dba89256abd877b71d0d34203f84d8b88915","observation_id":"4e90bfb5-f5c7-4106-92e4-6d9098cdf3a5","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Choulli and P","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:b6b1a005a66114445874d955a343178b470fed8ad207199730c3b6fd5b53dcea","observation_id":"1f3e2a62-d99a-4604-8014-42822551d319","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Choulli and P","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:a7f12847387c483cee52aff5b4b25aae34c21c951be94ad79c4b09882e97e62a","observation_id":"ad26173c-c015-4b83-9559-5ff66efd3d17","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.20899","last_updated":"2026-05-20T08:39:49Z","snapshot_observed_at":"2026-08-13T15:02:04.945897Z","submitted_at":"2026-05-20T08:39:49Z","title":"Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.20899","snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Dematt` e, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"cited_paper":"/paper/2605.20899","citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:fa38c8d15e9b31d77bb5f23c0097bbc871054375b16c91749fba6df6e7e8f774","observation_id":"d83d18d2-7517-402d-83ae-9ba009718cab","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:72575136a0176cf685639a63f7d939b30b5597be5e43f73f48f17305de97e382","observation_id":"7d5bbe4b-42bf-4ac7-ab4d-9c193818bc9d","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Gaitan and H","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:f33d375928c0ad91da09c659c583754be1761b1f384a63e694a53169c22f61c5","observation_id":"7cecef7d-dfcf-4792-8818-0a02fef503ca","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"G¨ olgeleyen and M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:b0b9b83a0ec21a1163442fae1c55ac314d0dd1f21abde5eb819833e33426d441","observation_id":"ebd19230-727f-41ca-b4bc-9d3f59ecb015","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:0c304d83a9eb8f712da4f56bb2b6d7e9ad970af6920e7427b385300b317b9eae","observation_id":"d023c1ce-2bdf-4350-8d03-bea1f7dc68a2","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Helgason.The Radon transform, volume 5","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:109957db16daf9c1ffe336efd55c8bc6664487dfb05be84baa30707c516b4219","observation_id":"87544d4e-a014-49e4-91b2-632dcc5c87a3","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Klibanov and S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:26c5189a2f52689b05da100fed3be8d23294e8fe4a547767623a3560f0eaee27","observation_id":"b93cdcb3-9672-4783-b02c-8366ba2350cd","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Klibanov and S","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:e2ae78166fe0815da55df4a4e8d2c9a7bdb3954f27dd570a7ea1bd2db98511bc","observation_id":"16809c23-baf6-4943-a9ba-5b9be564f0f6","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Lai and Q","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:748760de2befd79906066d1b4c7e13cf404fbfa18b417d62c4e78654aafdeb24","observation_id":"802a327e-d1fc-467a-8cc1-d12a3f7b6445","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:a287b652fb471795ed797f435f0b0f394ce871d4ab1b5fe7eed182f4d262cc18","observation_id":"6e0bde9a-53c5-4c72-8de8-b81616aa6f79","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:5dd16ccf5b7709c6fff736b460159d6ca4ad1bc880dbff8eea1463f64f530418","observation_id":"7e414cc4-2071-4079-acfb-7831a62d1b14","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:c3db30fb73a2fe44f22f87085bde320ec8182fd261505937d1ea7d2d7c9e7a56","observation_id":"9618b623-1286-44d1-86ea-04b4b25e7800","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Lai and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:4c81d9cd403cab18c704e25df45878534dd826d07931d46cdafc95dfe6deb4eb","observation_id":"48317d3a-b793-44ff-acae-629696e4009a","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.00369","snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Lai and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"cited_paper":"/paper/2410.00369","citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:47fa59087efcc364e22b78c69ff8d5891f653c1584992b6043271918fee7651e","observation_id":"92286e09-fe07-49b5-8400-e97c340c380a","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Li and Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:eef5c284ffd8685a7732c59a29f1f688c196f8d166fb57dd5fd4a68ea2c97d31","observation_id":"166c8e43-deeb-4d2d-8285-5f62d32237eb","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Machida and J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:952f79c102c02a458330275859e39befe5017151c6b492a77d2223f1e2a02861","observation_id":"fcd0563d-8c31-4305-b120-cc249ff7ca9c","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Machida and M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:571949b97711da91b418b44851a00706aedccfd04d68bd98013dbc4884e83afb","observation_id":"b467cdc8-1886-4118-b6bd-481e6692d49d","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"McDowall, P","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:65e2bd0dea74f9b43de1622032fedc00060d47d3a825027ab1b204dddf915f21","observation_id":"37689dbc-89dd-4754-ba6a-9e1c353053ec","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"McDowall, P","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:091b4e13290dcafa19394d5c85dc271833b5d4ebb7baf24158cbc1ce1f89f58d","observation_id":"c98ef3bd-6d47-4041-92a7-dfa8217c4653","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"McDowall, P","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:4e19b3611a5b3e6de0a99f11ab54735a901cf055b09eefe09fc1d22ea3ee5964","observation_id":"1f326340-d80a-4f4b-b922-9e63992588dd","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:4c09a32c9bf5a3a1faad31293abf6574a613274c46817ba835d96030710cbae9","observation_id":"fa7691df-def4-40c2-ab61-ec3e2cc2064a","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Mischler","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:f8dcdaf31b35a132246d0ba00a699698b610d92fdaa7b72cf20491f3f1cb1706","observation_id":"2e914b0d-7742-4389-8756-2752a0114ccc","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Natterer.The mathematics of computerized tomography","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:f21e564f60c25780b2acca245dba113de929eff246868a86ce7fd7ebbd6e6b04","observation_id":"da500d87-35fe-4d6e-ab93-cee8172e7c08","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Perthame","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:28faaf8466acd14b42d03f9a0eb24420bf6c1ab9fe7969c7bfdb141f5c776d39","observation_id":"ecf6fd38-d68f-4170-8fb0-136f5a1d0fdd","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Perthame and A","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:d31a131ea8b57a9eb3e58d2364b2d9ae795ec945a3607b91b5208ef573e40021","observation_id":"b2c7e77c-90b0-4549-9d4f-9a1eccbcfbc6","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Perthame and M","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:e27eed4f56ed9b6ebc8acb40eb13b4a4b579dcc7ba57628238f25ebd534a069e","observation_id":"9e44bf97-ce4d-4d0e-8eff-c12f9e4e7918","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Stefanov.Inverse problems in transport theory, volume 47","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:22daa599cdabf1e5f20e9500ae1532bd03a56de61d6c7b0afd1f0f253eeb07a8","observation_id":"09a6146a-12c5-4dff-98a6-53148ab4c840","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Stefanov and G","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:24feedaddcc06b32505aaceb7422d17490f916f387f9642e107b6a4f09922398","observation_id":"368ae98e-2aab-43f6-8a07-3275f5b5726a","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Stefanov and G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:f5543ce91c2d909659e464c6cbc99106b5bc83a0c2d1436b9128f4c3425ba57f","observation_id":"b8bd6275-938f-41a9-9698-efdb50bd1c34","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Stefanov and Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:d8143f682ec43896471169b8bd1c5a874a503a6d76cf28f1b71ef6e257e92356","observation_id":"4993093f-0aed-41ba-a92e-02d2d3a5168d","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:81a9ea27ef9dafef1772924c2604771a9cd81f532a58ea458984e9cf628cd9ba","observation_id":"f12a30a3-cbcc-4198-8183-c45e02673e03","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:eef09d490d0425577c114b7cac88c982122a73f7175f1b4e81b493368804d1b4","observation_id":"630c4457-eb54-4c8e-b3d1-d4c6311be10b","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Zhao and Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:bd6b55bc0e139e75be6e4792e0974b06860d85becc5df30e0b32e61cc6b82bfa","observation_id":"bbb8bce4-161d-4dbb-9d03-ed56b14a5914","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":49},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2607.02831."}